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Simplifying 2(3 + 6x) = -22 + -2x (3 * 2 + 6x * 2) = -22 + -2x (6 + 12x) = -22 + -2x Solving 6 + 12x = -22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 12x + 2x = -22 + -2x + 2x Combine like terms: 12x + 2x = 14x 6 + 14x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 14x = -22 + 0 6 + 14x = -22 Add '-6' to each side of the equation. 6 + -6 + 14x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -22 + -6 14x = -22 + -6 Combine like terms: -22 + -6 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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